Answer
The answer is $\log \left (\frac{x^5}{ \sqrt y} \right) $.
Work Step by Step
The given expression is
$5\log x- \frac{1}{2} \log y$
Convert the expression using the property $a\log b = \log b^a$.
$=\log x^5- \log y^{\frac{1}{2}}$
Now use the property $\log a - \log b =\log \left (\frac{a}{ b} \right) $.
$\log \left (\frac{x^5}{ y^{\frac{1}{2}}} \right)$
We can write.
$\log \left (\frac{x^5}{ \sqrt y} \right) $.
